Find the LCM of 922, 794, 681, 518, 314 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 922, 794, 681, 518, 314. So, keep reading to learn more.
Given numbers are 922,794,681,518,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 922,794,681,518,314 is 10136031609102.
Find LCM of 922,794,681,518,314 with Prime Factorization
2 | 922, 794, 681, 518, 314 |
461, 397, 681, 259, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 461 x 397 x 681 x 259 x 157 = 10136031609102
Therefore, the lowest common multiple of 922,794,681,518,314 is 10136031609102.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
922 x 794 x 681 x 518 x 314 = 81088252872816
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
922 : 1, 2, 461, 922
794 : 1, 2, 397, 794
681 : 1, 3, 227, 681
518 : 1, 2, 7, 14, 37, 74, 259, 518
314 : 1, 2, 157, 314
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 922,794,681,518,314, is 1.
Now, the common factors can be found like this.
922:2x 461
794:2x 397
681:3x 227
518:2x 7x 37
314:2x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2 = 8
Therefore, the value for common factors is 8.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 81088252872816/(1x8)
LCM = 81088252872816/8
LCM = 10136031609102
Thus, we can understand that the LCM of 922,794,681,518,314 is 10136031609102.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 922, 794, 681, 518, 314?
Answer: LCM of 922, 794, 681, 518, 314 is 10136031609102.
2. How to calculate the LCM of 922, 794, 681, 518, 314?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 922, 794, 681, 518, 314.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.